Question

Find the ordered pair (s,t) that satisfies the system
s/2 + 5t = 3 + 5t
3t - 6s = 9 + 3t

Answer 1

There isn't one. There is no solution.

Explanation:

There are multiple ways to solve this system, but here's what I did:

Solve the both equations for s:

s/2 + 5t = 3 + 5t ⇒ s = 6

3t - 6s = 9 + 3t ⇒ s = -3/2

Since s cannot equal both 6 and -3/2 at the same time, there is no real solution to this system.